I'm sad to announce that this is currently not possible in Tableau Desktop.
However I find the idea interesting!
Feel free to drop this feature into our Ideas forums. Our developers love to check the ideas from our awesome community!
1 of 1 people found this helpful
I have chosen these filters over multiple value (list) filters because they fit together in a queries section of the sheet nicely.
Here are some ideas about arranging multiple value filters differently which you might like to influence Tableau to implement by up-voting (and commenting). They are sorted by assumed relevance:
Multiline Filter (16)
Thank you for all of the information, Kettan! It has certainly given me some ideas for modifications!